Finding the Third Proportional to 100,771 and 219,961.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,771 : 219,961.50 = 219,961.50 : x
2. Step 2: Convert to fraction form
   100,771/219,961.50 = 219,961.50/x
3. Step 3: Cross multiply
   100,771x = 219,961.50 × 219,961.50
4. Step 4: Simplify right side
   100,771x = 48,383,061,482.25
5. Step 5: Solve for x
   x = 48,383,061,482.25/100,771
6. Step 6: Final answer
   x = 480,128.82